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Finding the Fourth Proportional to 631.82, 948.35 and 388.82

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Solution

The fourth proportional to 631.82, 948.35 and 388.82 is: 583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.82 : 948.35 = 388.82 : x
  2. Step 2: Convert to fraction form
    631.82/948.35 = 388.82/x
  3. Step 3: Cross multiply
    631.82x = 948.35 × 388.82
  4. Step 4: Simplify right side
    631.82x = 368,735.50
  5. Step 5: Solve for x
    x = 368,735.50/631.82
  6. Step 6: Final answer
    x = 583.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.